A melting point test of n = 10 samples of a binder used in manufacturing a rocket propellant resulted in= 154.2F. Assume that the melting point is normally distributed with = 1.5F.

Question1: Test H₀: = 155 versus H₁: 155 using = 0.01. What is the p-value? Round your answer to two significant digits.

Question2: Given the p-value and from question 1, what is your conclusion?

QUESTION 3: Using the data from question 1, what is the value of if the true mean is = 154?

QUESTION 4: What is the value for Power using the parameters that you used to solve for in question 3?

Question5: For the same data, what value of n (integer only) would be required if we want = 0.1 when = 154? Assume that = 0.01.